Duality methods for non qualified distributed control problems

2005 ◽  
pp. 65-72
Author(s):  
Frederic Abergel ◽  
Roger Temam
Keyword(s):  
Distributed Control ◽  
Control Problems ◽  
Distributed Control Problems ◽  
Duality Methods

Convex Relaxation for Optimal Distributed Control Problems

2017 ◽  
Vol 62 (1) ◽  
pp. 206-221 ◽  
Author(s):  
Ghazal Fazelnia ◽  
Ramtin Madani ◽  
Abdulrahman Kalbat ◽  
Javad Lavaei
Keyword(s):  
Distributed Control ◽  
Convex Relaxation ◽  
Control Problems ◽  
Distributed Control Problems ◽  
Optimal Distributed Control

A Full Multigrid Method for Distributed Control Problems Constrained by Stokes Equations

2017 ◽  
Vol 10 (3) ◽  
pp. 639-655 ◽  
Author(s):  
M. M. Butt ◽  
Y. Yuan
Keyword(s):  
Optimal Control ◽  
Distributed Control ◽  
Multigrid Method ◽  
Stokes Equations ◽  
The State ◽  
Control Problems ◽  
Distributed Control Problems ◽  
Control Variables ◽  
Staggered Grids ◽  
Full Multigrid Method

AbstractA full multigrid method with coarsening by a factor-of-three to distributed control problems constrained by Stokes equations is presented. An optimal control problem with cost functional of velocity and/or pressure tracking-type is considered with Dirichlet boundary conditions. The optimality system that results from a Lagrange multiplier framework, form a linear system connecting the state, adjoint, and control variables. We investigate multigrid methods with finite difference discretization on staggered grids. A coarsening by a factor-of-three is used on staggered grids that results nested hierarchy of staggered grids and simplified the inter-grid transfer operators. A distributive-Gauss-Seidel smoothing scheme is employed to update the state- and adjoint-variables and a gradient update step is used to update the control variables. Numerical experiments are presented to demonstrate the effectiveness and efficiency of the proposed multigrid framework to tracking-type optimal control problems.

Sign in / Sign up

Export Citation Format

Share Document